Rangers are still rooted to the foot of the Premier League table, five points from safety, but the shock 1-0 win marked the first time Rangers have beaten their west London rivals at Stamford Bridge since 1986.

And Redknapp said: ‘After that result people suddenly think “maybe they do have a chance” and “maybe it would be nice to go there and help get them out of the mess they’re in”. Let’s be up for the challenge.

Strengthening: Harry Redknapp wants to bring in some new faces at QPR (Picture: AP)

‘Yeah, we can turn it around. If I can get this lot working, and we’re looking to improve the squad in the window, we’ll give ourselves a chance and this result has proved that.’

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Redknapp admitted he had been close to signing Liverpool’s Joe Cole before Wednesday’s match – only for his former midfielder to opt for ex-club West Ham at the last minute.

‘He probably looked here and thought “Harry I love you but I don’t think you’re going to stay up”, so he’s gone to the Hammers instead,’ he joked.

Sources close to the club suggest Redknapp could now turn to former club Tottenham and lure Jake Livermore or Tom Huddlestone on loan until the end of the season while he also admits he needs defensive reinforcements with interest shown in France international right back Anthony Réveillère and free agent defender Tal Ben Haim.

Target: Michael Dawson (Picture: Getty)

Tottenham’s Michael Dawson, who was close to a move to Loftus Road in the summer, may again be a target.

‘We still need to strengthen up. No doubt about that. The two centre-halves (Ryan Nelsen and Clint Hill) have done miracles. I think they’re both 35 years of age,’ he added.

DJ Campbell, currently on loan at Ipswich, could also be recalled to bolster the Hoops’ forward line, although rumours of an audacious swoop for former Spurs star Rafael Van Der Vaart – now at Hamburg – seem wide of the mark.

‘I have got a list of names – players I would like to try and get,’ Redknapp said. ‘Actually getting them is not easy. It is all about value, prices and everything else.’

Oscar (R) of Chelsea vies for ball with Jamie Mackie (L) of QPR during the English Premier League soccer match between Chelsea and Queens Park Rangers FC at the Stamford Bridge Stadium, London, Britain, 02 January 2013.

Shaun Wright-Phillips (2nd L) of QPR in action while David Luiz (L) and Frank Lampard (C) of Chelsea run to defend during the English Premier League soccer match between Chelsea and Queens Park Rangers FC at the Stamford Bridge Stadium, London, Britain, 02

Chelsea’s English midfielder Frank Lampard (R) walks to the bench after being substituted by Chelsea’s Spanish interim manager Rafael Benitez (L) during the English Premier League football match between Chelsea and Queens Park Rangers at Stamford Bridge in London, on January 2, 2013. QPR

Queens Park Rangers’ English manager Harry Redknapp gestures the English Premier League football match between Chelsea and Queens Park Rangers at Stamford Bridge in London, on

Queens Park Rangers’ English midfielder Shaun Wright-Phillips (C) scores the opening of the English Premier League football match between Chelsea and Queens Park Rangers at Stamford Bridge in London, on

Queens Park Rangers’ English midfielder Shaun Wright-Phillips (C) scores the opening of the English Premier League football match between Chelsea and Queens Park Rangers at Stamford Bridge in London, on

Queens Park Rangers’ English midfielder Shaun Wright-Phillips (C) scores the opening of the English Premier League football match between Chelsea and Queens Park Rangers at Stamford Bridge in London, on